Tsen rank

id: tsen-rank-290-7055251
title: Tsen rank
text: In mathematics, the Tsen rank of a field describes conditions under which a system of polynomial equations must have a solution in the field. The concept is named for C. C. Tsen, who introduced their study in 1936. We consider a system of m polynomial equations in n variables over a field F. Assume that the equations all have constant term zero, so that (0, 0, ... ,0) is a common solution. We say that F is a Ti-field if every such system, of degrees d1, ..., dm has a common non-zero solution whe
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original url: https://en.wikipedia.org/wiki/Tsen_rank
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date modified: 2023-04-25T10:57:00Z
main entity: {"identifier":"Q7849522","url":"https://www.wikidata.org/entity/Q7849522"}
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